Then why is it being called noise?
OK, let's take radiated noise from the Ethernet cable. This interference is supposed to get into my high-end DAC even though I am assured by said DAC designer that the thousands of dollars if not tens of thousands of dollars I paid for that DAC over a 50 cent chip in my computer, is not subject to such vagaries. You are saying that this noise is not audible when the DAC is producing silence. But that when it plays music, it applies an amplification factor to that radiated noise? And that you now hear said noise in the midst of much louder music as opposed to silence? How could that be?
Can you tell me why I don't have recourse with my DAC designer if this is an issue? Is it an impossibility to design a DAC which doesn't have audible noise due to Ethernet cabling? What makes it impossible?
It's called noise because it's not signal. There's more terms for types of noise. Noise is a term used in every field aside from audio, as they need to address it as well. It's not an audio specific term.
I'm sorry but who and when said radiated noise from the ethernet cable is getting into this DAC? Best as I can tell you're trying to twist concept and word. I explain how noise can change sound without being audible itself as an artifact. My example uses a transistor to try and make it simple. You turn that into radiation gets into your DAC? You've taken a step that's around 2,400 pages worth of textbooks past the example.
The ethernet cable itself will radiate, but it's not a big concern. It's going to be minimal since it's low voltage, short frequencies, and twisted wires. If it really could do much at all then you'd need shielded separate sections in the cable per twisted pair. Consider there isn't enough mutual sharing to cause problem except in very long runs.
If the DAC has a metal jack then with the enclosure it'll block pretty much everything besides the minimal amount that can exist radiating from the jack's pins as they travel to the board.
"You are saying that this noise is not audible when the DAC is producing silence. But that when it plays music, it applies an amplification factor to that radiated noise? And that you now hear said noise in the midst of much louder music as opposed to silence? How could that be?"
Producing silence? And actually I wasn't saying it applies an amplification factor, and I'm not sure why we'd be talking about radiated noise in that example to simply understand why noise changes sound but isn't audible as an artifact. First off noise that can be amplified will come from the signal. This is why fizzle with nothing playing doesn't change volume when it's from your amplifier, it's simply on the power that's pulling the electrons through the speaker to begin with (it's at max voltage already).
Typically unless something is broken high frequencies are essentially undetectable without playing anything (your speakers can't play 30mhz for example). But due to complex parasitic actions you might get some "radiation" affecting the device. At low signal level the more noise that's added the more it can be amplified, and the more it's amplified/buffered the more it will have parasitic potential. Because you can't hear the 30mhz, doesn't mean you can't hear the changes caused by it due to the interactions. In fact I hope you see the fallacy of thinking your speakers where going to play in excess of the frequency range any known speaker has ever been reported to be capable... oh, excuse me, "producing silence".
It's possible if a device has a very noisy power supply that it could change the signal pre-amplification due to "radiation" - again this type of noise would essentially constitute a broken device if it's spewing crap at high potential all over itself.
If a DAC has a poor design it's most likely to cause errors in the conversion process to DSD, than noise continue down the line. I dare not explain this, if I even can do a fair job since I'm not a designer of these chips. But consider at low signal level the parasitic qualities are much more destructive ("radiation"). And the exception being that the device may not filter the ethernet signal due to poor design (at this point it becomes noise, as signal is now a different mhz corresponding to DSD).
Overall I feel like I just wasted a lot of time on you being a troll, as I consider my original observation on how you chose to ask a question.